MAT 202 Probability, Statistics & Numerical Methods S4 (2019 Scheme) KTU BTech
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7 modules
Lifetime access
Master probability, statistics, and numerical methods for engineering applications
Overview
This course covers the topics of Probability, Statistics, and Numerical Methods as per the 2019 Scheme of Kerala Technological University (KTU) for the BTech program. Students will learn the fundamentals of probability theory, statistical analysis, and numerical methods essential for engineering applications.
Key Highlights
Probability Theory
Statistical Analysis
Numerical Methods
What you will learn
Understand Probability Theory
Learn the concepts of probability, random variables, and probability distributions.
Apply Statistical Analysis
Utilize statistical methods to analyze data and make informed decisions.
Implement Numerical Methods
Develop computational solutions for engineering problems using numerical techniques.
Modules
Module 01
11 attachments • 3 hrs
Discrete Probability Distribution (Part 1)| S4 Mathematics
Probability Distribution | Discrete Probability Distribution (Part 2)| S4 Mathematics
Mean and Variance of Discrete Random Variable | Module 1 (Part 3)
Binomial Distribution | Discrete Probability Distribution (Part 4) | S4 Mathematics
Mean and Variance of Binomial Distribution | Discrete Probability Distribution (Part 5)
Poisson Distribution | Discrete Probability Distribution (Part 6) | S4 Mathematics
Poisson Distribution as a limiting case of Binomial Distribution | Module 1 (Part 7) | S4 Maths
Discrete Probability Distributions| Module 1 (Part 8) | MAT 202&204&208 | S4(2019 Scheme)| KTU
Discrete Bivariate Distributions| Module 1(Part 9) | MAT 202, 204, 208- S4(2019) | KTU BTech
Discrete Bivariate Distributions- Question| Module 1(Part 10)-MAT 202, 204, 208- S4(2019)-KTU BTech
Cumulative Distribution Function- Questions| Module 1(Part 11)-MAT 202, 204, 208- S4(2019)-KTU BTech
Module 02
12 attachments • 4 hrs
Continuous Random Variables | S4 Mathematics | Module 2 (Part 1)
Uniform Distribution | S4 Mathematics | Module 2 (Part 2)
Exponential Distribution | Continuous Probability Distribution | S4 Mathematics | Module 2(Part 3)
Normal Distribution | Continuous Probability Distributions | S4 Mathematics | Module 2(Part 4)
Continuous Random Variables Problems | S4 Mathematics | Module 2 (Part 5) | KTU BTech
Uniform Distribution Problems | KTU BTech | S4 Mathematics | MA 202 & MA 204 | Module 2 (Part 6) |
Exponential Distribution Problems| S4 Mathematics| Module 2 (Part 7) |MAT 202 KTU
Normal Distribution Problems | S4 Mathematics | MA 202 & MA 204 | Module 2 (Part 8) | KTU BTech
Normal Distribution Problems | S4 Mathematics | Module 2 (Part 9) | MAT 202
Continues Bivariate Random Variable| Joint Probability Distribution (Part 10 )| S4 MAT 202
Continuous Bivariate Random Variable (Part 11)| Module 2 | MAT 202, 204, 208 S4 (2019) KTU B. Tech
Central Limit Theorem - Module 2 (Part 12)| MAT 202, 204, 208 S4 (2019) KTU B. Tech
Module 03
9 attachments • 2 hrs
Population & Sample | Module 3 (Part 1) Statistical Inference | MAT 202, MAT 208 | S4 (2019) KTU
Sample Mean | Module 3 (Part 2) Statistical Inference | MAT 202, MAT 208 | S4 (2019) KTU
Confidence Interval for Population mean | Module 3(Part 3)| Statistical Inference | MAT 202, 208 KTU
Confidence Interval for Population Proportion | Module 3(Part 4)| Statistical Inference |S4(2019)KTU
Testing of Hypothesis | Module 3(Part 5) | Statistical Inferences S4(2019)| MAT 202,208 KTU BTech
Testing of Hypothesis | Module 3(Part6) | Statistical Inferences S4(2019)| MAT 202,208 KTU BTech
Testing of Hypothesis | Module 3(Part 7) | Statistical Inferences S4(2019)| MAT 202,208 KTU BTech
Testing of Proportion | Module 3(Part 8) | Statistical Inferences S4(2019)| MAT 202,208 KTU BTech
Equality of population means -Module 3(Part 9) | Statistical Inferences S4(2019)| MAT 202,208 KTU
Module 04
8 attachments • 3 hrs
Numerical Techniques (Part 1)| Module 5 | S4 Mathematics
Newton Raphson Method Numerical Techniques (Part 2) | Module 5| S4 Mathematics
Lagrange's Interpolation | Numerical Techniques (Part 3)| S4 MA 202
Newton's Forward Interpolation | Numerical Techniques 1 Module 5(Part 4) | S4(MA 202)
Newton's Backward Interpolation | Numerical Techniques 1| Module 5(Part 5)| S4 Mathematics (MA 202)
Newton Raphson Method (University Questions) | Numerical Techniques (Part 6) | S4 Mathematics
Trapezoidal Rule | Numerical Techniques (Part 7) | S4 Mathematics | KTU
Simpson's (1/3)rd Rule | Numerical Techniques (Part 8) | S4 Mathematics | KTU
Module 05
5 attachments • 1 hrs
Gauss Seidel Iteration Method | Numerical Methods-II (Part 1) | S4 Mathematics KTU
Euler's Method | Numerical Methods-II (Part 2) | S4 Mathematics| KTU
Improved Euler's Method | Numerical Methods-II (Part 3) | S4 Mathematics | KTU
Runge Kutta Method (4th Order) | Numerical Methods-II (Part 4)| S4 Mathematics
Gauss Seidel Iteration Method -Question | Numerical Methods (II) Part 5 | S4(2019) MAT 202, 204
Probability and Statistics for Engineering and the Sciences ( PDFDrive )
10Edition-ErwinKreyszig-AdvancedEngineeringMathematics
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